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Simplifying 8r + 23 = 5r + 7 Reorder the terms: 23 + 8r = 5r + 7 Reorder the terms: 23 + 8r = 7 + 5r Solving 23 + 8r = 7 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 23 + 8r + -5r = 7 + 5r + -5r Combine like terms: 8r + -5r = 3r 23 + 3r = 7 + 5r + -5r Combine like terms: 5r + -5r = 0 23 + 3r = 7 + 0 23 + 3r = 7 Add '-23' to each side of the equation. 23 + -23 + 3r = 7 + -23 Combine like terms: 23 + -23 = 0 0 + 3r = 7 + -23 3r = 7 + -23 Combine like terms: 7 + -23 = -16 3r = -16 Divide each side by '3'. r = -5.333333333 Simplifying r = -5.333333333
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